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Finding the Third Proportional to 673,732.69 and 1,010,599.03

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Solution

The third proportional to 673,732.69 and 1,010,599.03 is: 1,515,898.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    673,732.69 : 1,010,599.03 = 1,010,599.03 : x
  2. Step 2: Convert to fraction form
    673,732.69/1,010,599.03 = 1,010,599.03/x
  3. Step 3: Cross multiply
    673,732.69x = 1,010,599.03 × 1,010,599.03
  4. Step 4: Simplify right side
    673,732.69x = 1,021,310,401,963.44
  5. Step 5: Solve for x
    x = 1,021,310,401,963.44/673,732.69
  6. Step 6: Final answer
    x = 1,515,898.55

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.